90901440000 has 1200 divisors, whose sum is σ = 390865483008. Its totient is φ = 20653056000.

The previous prime is 90901439999. The next prime is 90901440031. The reversal of 90901440000 is 4410909.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 544319917 + ... + 544320083.

Almost surely, 2^90901440000 is an apocalyptic number.

90901440000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90901440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195432741504).

90901440000 is an abundant number, since it is smaller than the sum of its proper divisors (299964043008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90901440000 is an frugal number, since it uses more digits than its factorization.

90901440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 90901440000 its reverse (4410909), we get a palindrome (90905850909).

The spelling of 90901440000 in words is "ninety billion, nine hundred one million, four hundred forty thousand".